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Continuous Stochastic Games of Capital Accumulation with Convex Transition

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  • AMIR , Rabah

    (The Institute for Advanced Study, Vienna, Austria)

Abstract

\Ve consider a discounter stochastic game of common-property capital accumulation with nonsymetric players. bounded Due-period extraction capacities, and a transition law satisfying a general strong convexity condition. We show that the infinite-horizon problem has a Markov-stationary (subgame-perfect) equilibrium and that every finite horizon transaction has a unique Markovian equilibrium, hoth in consumption functions which are continuous, non decreasing and have all slopes bounded above by 1. Unlike previous results in strategic dynamic models, these properties are reminiscent of the corresponding optimal growth model.

Suggested Citation

  • AMIR , Rabah, 1995. "Continuous Stochastic Games of Capital Accumulation with Convex Transition," LIDAM Discussion Papers CORE 1995009, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:1995009
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    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
    • Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General

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